Question

The length of a rectangle is five more than triple the width. If the perimeter is 138 inches, find the

dimensions.
The width is
inches.
The length is
inches.
Question Help: D Video Message instructor D Post to forum
Submit Question

Answer 1

The length and width of the rectangle is 53 inches and 16 inches respectively.

Explanation:

Let the width of a rectangle is x, then its length is 5+3x.

The perimeter of the rectangle = 138 inches

We need to find the dimension of the rectangle.

The formula for the perimeter of a rectangle is given by :

P = 2(l+b)

Putting all the values,

2(5+3x+x) = 138

2(5+4x) = 138

5+4x = 69

4x = 64

x = 16

Width = 16 inches

Length = 5+3(16)

= 53 inches

Hence, the length and width of the rectangle is 53 inches and 16 inches respectively.